If a polynomial function f (x) has roots 0, 4, and 3 + StartRoot 11 EndRoot, what must also be a root of f (x) ? 3 + i StartRoot 11 EndRoot Negative 3 + i StartRoot 11 EndRoot 3 minus StartRoot 11 EndRoot Negative 3 minus StartRoot 11 EndRoot

Question

Mathematics

Shyanne Cordova

19 October, 16:50

If a polynomial function f (x) has roots 0, 4, and 3 + StartRoot 11 EndRoot, what must also be a root of f (x) ? 3 + i StartRoot 11 EndRoot Negative 3 + i StartRoot 11 EndRoot 3 minus StartRoot 11 EndRoot Negative 3 minus StartRoot 11 EndRoot

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Answers (1)

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Brooklyn Mata · Answer 1

3 - √11

Step-by-step explanation:

For polynomials with rational coefficients, any radical roots must come in conjugate pairs. To find the conjugate, simply reverse the sign of the radical.